The dependence of the speed on time when braking the car is given by the formula V = 20-4t.
June 17, 2021 | education
| The dependence of the speed on time when braking the car is given by the formula V = 20-4t. Calculate the time after which the vehicle will stop and the distance traveled during braking.
When the car stops, its speed will be zero and, therefore, v = 20 – 4 * t = 0,
4 * t = 20,
t = 5 s, i.e. the car will stop after 5 seconds.
In the original equation we have v1 = 20, a = -4, therefore:
S = (v2 ^ 2 – v1 ^ 2) / (2 * a) = (0 – 400) / (2 * (-4)) = 50 m.
Answer: the braking time of the car is t = 5 s, the acceleration of the uniformly slow motion is a = -4 m / s².
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